During a building project, a brick is
dropped from a height of 1,296 ft. If the
equation for height as a function of time is.
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the brick to
hit the ground?


Sagot :

The brick will fall to the ground after 9 secs.

What are quadratic equations?

Given the equation for height as a function of time is  h(t) = -16t2 + 1,296

The height of the brick on the ground is h(t) = 0. Substitute h(t) = 0 into the equation as shown:

  • -16t2 + 1,296 = 0

Subtract 1296 from both sides

-16t² + 1,296 - 1296 = 0 - 1296

16t² = 1296

t² = 1296/16

t² = 81

t = 9secs

Hence the brick will fall to the ground after 9 secs.

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